Bang-bang property of time optimal controls for some semilinear heat equation
In this paper, we derive a bang-bang property of a kind of time optimal control problem for some semilinear heat equation on bounded $C^2$ domains (of the Euclidean space), with homogeneous Dirichlet boundary condition and controls distributed on an open and non-empty subset of the domain where the...
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| creator | Wang, Lijuan Yan, Qishu |
| description | In this paper, we derive a bang-bang property of a kind of time optimal
control problem for some semilinear heat equation on bounded $C^2$ domains (of
the Euclidean space), with homogeneous Dirichlet boundary condition and
controls distributed on an open and non-empty subset of the domain where the
equation evolves. |
| doi_str_mv | 10.48550/arxiv.1510.03673 |
| format | Article |
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control problem for some semilinear heat equation on bounded $C^2$ domains (of
the Euclidean space), with homogeneous Dirichlet boundary condition and
controls distributed on an open and non-empty subset of the domain where the
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control problem for some semilinear heat equation on bounded $C^2$ domains (of
the Euclidean space), with homogeneous Dirichlet boundary condition and
controls distributed on an open and non-empty subset of the domain where the
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control problem for some semilinear heat equation on bounded $C^2$ domains (of
the Euclidean space), with homogeneous Dirichlet boundary condition and
controls distributed on an open and non-empty subset of the domain where the
equation evolves.</abstract><doi>10.48550/arxiv.1510.03673</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Optimization and Control |
| title | Bang-bang property of time optimal controls for some semilinear heat equation |
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